A stochastic Galerkin method for Maxwell equations with uncertainty

被引：0
作者：
Lizheng Cheng
Bo Wang
Ziqing Xie
机构：
[1] Hunan Normal University,LCSM (MOE) and School of Mathematics and Statistics
[2] Hunan International Economics University,Information Science and Engineering College
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
Maxwell equations; random inputs; stochastic Galerkin method; gPC expansion; convergence analysis; 35Q61; 65C30; 65M70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we investigate a stochastic Galerkin method for the Maxwell equations with random inputs. The generalized Polynomial Chaos (gPC) expansion technique is used to obtain a deterministic system of the gPC expansion coefficients. The regularity of the solution with respect to the random is analyzed. On the basis of the regularity results, the optimal convergence rate of the stochastic Galerkin approach for Maxwell equations with random inputs is proved. Numerical examples are presented to support the theoretical analysis.
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页码：1091 / 1104
页数：13
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